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Finding the Fourth Proportional to 2,642.45, 3,964.13 and 887.62

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Solution

The fourth proportional to 2,642.45, 3,964.13 and 887.62 is: 1,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.45 : 3,964.13 = 887.62 : x
  2. Step 2: Convert to fraction form
    2,642.45/3,964.13 = 887.62/x
  3. Step 3: Cross multiply
    2,642.45x = 3,964.13 × 887.62
  4. Step 4: Simplify right side
    2,642.45x = 3,518,648.24
  5. Step 5: Solve for x
    x = 3,518,648.24/2,642.45
  6. Step 6: Final answer
    x = 1,331.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.